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1. Let X have a Poisson distribution with parameter 0. Assume that the unknown O is a value of a random variable 0 that has a gamma distribution with parameters IX = r and fJ = (1 -p)/ p, where r is a positive integer and 0 p 1. Show, by the procedure of compounding, that X has a marginal distribution which is negative binomial, a distribution that was introduced earlier (Section 3.1) under very different assumptions.
overproduction of uric acid in the body can be an indication of cell breakdown. this may be an advance indication of
three couples and two single individuals have been invited to a party. assume independence of arrivals to the party and
How large a sample should she check in order to be 93 percent confident that the true proportion is estimated to within 0.014?
students in an introductory statistics class were asked to report the age of their mothers when they were born.
GRAPH THE DATA IN A CHART. DESCRIBE THE TREND YOU SEE. CALCULATE THE MEAN AND STANDARD DEVIATION. CONSTRUCT A STEM AND LEAF DISPLAY OF THESE DATA.
1. Which of the following are valid probability density functions? Justify your answer.
Critically discuss the lower control limit for a proportion defective if the average daily production is 5000 units and the average fraction defective is .02?
what are the assumptions necessary for hypothesis testing when using the method of least square in multiple regression?
The simple coefficient of determination is the proportion of total variation explained by the regression line.
the mean age at which men in the united states marry for the first time follows the normal distribution with a mean of
A professor receives, on average, 24 emails from students the day before the midterm exam. To compute the probability of receiving at least 10 emails on the next day before the midterm she would use which probability distribution?
The ratio of what two numbers in the ANOVA tables gives you the F value? a. 4 and 115 b. 12.327 and 106.464c. 3.082 and .926 d. 119 and 115
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